Inequality and interval notation, Algebra

Assignment Help:

Solving the following inequalities.  Give both inequality and interval notation forms of the solution.

-2 ( m - 3) < 5 ( m + 1) -12

Solution

Solving out single linear inequalities follow pretty much the similar process for solving linear equations.  We will simplify both of the sides, get all the terms along with the variable on one side & the numbers on the other side, & then multiply/divide both of sides through the coefficient of the variable to obtain the solution.  The one thing which you've got to recall is that if you multiply/divide by a negative number then switches the direction of the inequality.

-2 ( m - 3) < 5 ( m + 1) -12

Really there isn't much to do here other than follow the procedure outlined above.

-2 (m - 3) < 5 ( m + 1) -12

-2m + 6 < 5m + 5 -12

-7m < -13

m < 13/ 7

You did notice the fact that the direction of the inequality vary here didn't you? We divided by a "-7" and thus we had to change the direction. The inequality form of the solution is m > 7.

The interval notation for this solution is, ( 13/ 7, ∞ ) .

Coordinates for the point - graphing, Coordinates for the point  The li...

Coordinates for the point  The listed first number is the x-coordinate of the point and the second number listed is the y-coordinate of the point. The ordered pair for any spec

Write the equation for the perimeter, The image it''s a regtangle with y+2 ...

The image it''s a regtangle with y+2 length and x+4 width

Complex number, let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z...

let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z^=3,x*y*z=4,then 1/(x*y+z-1)+1/(x*z+y-1)+1/(y*z+x-1) is

Polynomial satisfy - rational root theorem, Example: prove that the roots ...

Example: prove that the roots of the below given polynomial satisfy the rational root theorem. P ( x ) = 12x 3 - 41x 2 - 38x + 40 = ( x - 4) (3x - 2) ( 4x +5) Solution

Probability, Provide one example to show how you can use the Expected Value...

Provide one example to show how you can use the Expected Value computation to assess the fairness of a situation (probability experiment). Provide the detailed steps and calculatio

Compound and simple interests, Scenario: A client comes to you for investme...

Scenario: A client comes to you for investment advice on his \$500,000 winnings from the lottery. He has been offered the following options by three different financial institutions

College algebra 158, how to master college algebra and pass with an "A"

how to master college algebra and pass with an "A"

#tibobb, a painter charged \$320 to paint two walls taht measure 12 feet by ...

a painter charged \$320 to paint two walls taht measure 12 feet by 9ft and two walls that measured 10 ft by 9 ft. The client asks him to return to paint two walls that measue 15 ft

Quarditic, what is quarditic equation

what is quarditic equation

Evaluate the function, Given f ( x ) = 2 + 3x - x 2   and g ( x ) = 2 x -1...

Given f ( x ) = 2 + 3x - x 2   and g ( x ) = 2 x -1 evaluate ( f + g ) ( 4) Solution Through evaluate we mean one of two things based on what is in the parenthesis. If the